Given the cable with the load acting on it$,$ determine:

A$.$ The horizontal component of the tension $(F_H).$

B$.(10$ pts$.)$ The equation for the curvature of the cable $($so $y(x)).$

C$.(5$ pts$.)$ The maximum height of the cable. $($Hint: use your $y(x)$ equation of the line$)$

D$.(10$ pts$.)$ The maximum tension in the cable.

E$.(10$ pts$.)$ The total length of the cable. $($Hint: use your $y(x)$ equation$)$

F$.(15$ pts$.)$ The centroid of the cable. $($Hint: use your $y(x)$ equation$)$